enEnglishguગુજરાતી
GUJCET · Maths · Determinants
If \(2\left|\begin{array}{ll}\sin ( A + B ) & \cos ( A + B ) \\ \cos ( A - B ) & \sin ( A - B )\end{array}\right|+\sqrt{3}= 0\) then, \(A =\) ____________ .
- A \(\frac{\pi}{6}\)
- B \(\frac{\pi}{12}\)
- C \(\frac{\pi}{3}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(B) \(\frac{\pi}{12}\)
Step-by-step Solution
Detailed explanation
\(2(\sin ( A + B ) \sin ( A - B ) - \cos ( A + B ) \cos ( A - B )) + \sqrt{3} = 0\) \(2(-\cos ( ( A + B ) + ( A - B ) ) ) + \sqrt{3} = 0\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- Function \(f:[1.2,1.9] \rightarrow R , f(x)=[x]\). Where \([x]\) denotes the greatest integer less than or equal to \(x\). Then ____________GUJCET 2022 Medium
- The Angle between two consecutive side \(\vec{a}\) and \(\vec{b}\) of parallelogram is \(\frac{\pi}{6}, \vec{a}=(2,-2,1)\) and \(\vec{b}=2|\vec{a}|\), then area of parallelogram is _________ sq. units.GUJCET 2019 Hard
- The area bounded by the curve \(y=\sin x\) between \(x=-\pi / 2\) and \(x=\pi / 2\) is ___________ .GUJCET 2025 Medium
- Vector \(\vec{x}\) is a vector in the direction of \((2,-2,1)\) and having magnitude of 6 unit. Vector \(\vec{y}\) is a vector in the direction of \((1,1,-1)\) and having magnitude of \(\sqrt{3}\) units then, \(|\vec{x}+2 \vec{y}|=\) _________ ) .GUJCET 2019 Easy
- The total cost \(C(x)\) in Rupees, associated with the production of \(x\) units of an item is given by \(C (x)=0.05 x^3-0.2 x^2+3 x+500\). The marginal cost, where \(x=3\) is ___________ (in Ruppes)GUJCET 2025 Hard
- \(\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \sin ^2 x d x=\) __________.GUJCET 2022 Hard
More PYQs from GUJCET
- The ratio of time periods of \(\alpha\)-particle and proton moving on circular path in uniform magnetic field is _______ .GUJCET 2014 Easy
- \(\frac{d}{d x}\left(\log _{|x|} e\right)=\) __________GUJCET 2018 Medium
- _________ quickly reduce the symptoms of allergy.GUJCET 2022 Medium
- The magnitude of the drift velocity per unit electric field is known as ________.GUJCET 2024 Medium
- Absence of teeth, bifid tongue and mental retardness are observed in __________.GUJCET 2022 Easy
- How \(t_{2 g}^4 e_g^0\) configuration is possible for \(d^4\) ion during crystal Field splitting in Octahedral complex ?GUJCET 2023 Easy